A runner ran 20 miles in 150 minutes. If she runs at that speed,
A | B | C | D | E | F | |
Number of Minutes | 150 | 15 | 7.5 | 30 | 45 | 60 |
Number of Miles | 20 | 2 | 1 | 4 | 6 | 8 |
The values in column B were found by dividing both values in column A by 10. The values in column C were found by dividing both values in column B by 2. The other columns contain multiples of the values in column B.
Commentary
The purpose of this task is to give students experience in reasoning with equivalent ratios and unit rates from both sides of the ratio. This prepares for studying proportional relationships in Grade 7, and in Grade 8 for understanding that a proportional relationship can be viewed as a function in two different ways, depending on which variable is regarded as the input variable and which as the output variable.